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Math Prize For Girls Problems
2016 Math Prize for Girls Problems
10
10
Part of
2016 Math Prize for Girls Problems
Problems
(1)
Math Prize 2016 Problem 10
Source:
9/12/2016
How many solutions of the equation
tan
x
=
tan
tan
x
\tan x = \tan \tan x
tan
x
=
tan
tan
x
are on the interval
0
≤
x
≤
tan
−
1
942
0 \le x \le \tan^{-1} 942
0
≤
x
≤
tan
−
1
942
? (Here
tan
−
1
\tan^{-1}
tan
−
1
means the inverse tangent function, sometimes written
arctan
\arctan
arctan
.)
Math Prize for Girls